完备非紧流形上的热方程

Heat Equation on Complete Noncompact Manifolds

摘要:

研究了完备非紧有非负全纯双截曲率的 Khler流形上的热方程,在一个较弱的条件下得到了它的正解的梯度估计和复Hessian估计.

Abstract:

The heat equation on Khler manifolds with nonnegative and bounded bisectional curvature was studied.The gradient estimate of positive solutions and the complex Hessian estimate on it were obtained under a less condition.